O ct 2 00 7 DIFFERENTIAL TWISTED K-THEORY AND APPLICATIONS

@inproceedings{Carey2008OC2,
  title={O ct 2 00 7 DIFFERENTIAL TWISTED K-THEORY AND APPLICATIONS},
  author={Alan L. Carey and Jouko Mickelsson and Bai-ling Wang},
  year={2008}
}
In this paper, we develop differential characters in twisted K-theory and use them to define a twisted Chern character. In the usual formalism the ‘twist’ is given by a degree three Čech class while we work with differential twisted K-theory with twisting given by a degree 3 Deligne class. This resolves an unsatisfactory dependence on choices of representatives of differential forms in the definition of the Chern character map for twisted K-theory in the current literature. Twisted eta forms… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
SHOWING 1-10 OF 30 REFERENCES

I

  • M. Atiyah, V. Patodi
  • Singer Spectral asymmetry and Riemannian geometry…
  • 1975
Highly Influential
17 Excerpts

G

  • M. Atiyah
  • Segal Twisted K-theory. Ukr. Math. Bull. Vol. 1…
  • 2004
Highly Influential
7 Excerpts

Superconnection character forms and the Cayley transform

  • D. Quillen
  • Topology
  • 1988
Highly Influential
3 Excerpts

M

  • M-T. Benameur
  • Maghfoul Differential characters in K-theory…
  • 2006
1 Excerpt

On the relationship of gerbes to the odd families index theorem

  • A. L. Carey, B. L. Wang
  • to appear in Journal of Geometry and Physics
  • 2006

V

  • P. Bouwknegt, J. Evslin
  • Mathai T-Duality: Topology Change from H-flux…
  • 2004
1 Excerpt

Similar Papers

Loading similar papers…